%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEV430^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:10:31 EDT 2024

% Result   : Theorem 2.91s 1.69s
% Output   : Refutation 2.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  11 unt;   3 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   41 (   7   ~;   1   |;   0   &;  33   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   19 (   2   ^  12   !;   5   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $i ).

thf(sk1_type,type,
    sk1: ( $i > $i ) > $i ).

thf(sk2_type,type,
    sk2: $i > $i ).

thf(3,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( f @ B )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fsurj) ).

thf(7,plain,
    ! [A: $i] :
    ? [B: $i] :
      ( ( f @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(8,plain,
    ! [A: $i] :
      ( ( f @ ( sk2 @ A ) )
      = A ),
    inference(cnf,[status(esa)],[7]) ).

thf(9,plain,
    ! [A: $i] :
      ( ( f @ ( sk2 @ A ) )
      = A ),
    inference(lifteq,[status(thm)],[8]) ).

thf(1,conjecture,
    ? [A: $i > $i] :
    ! [B: $i] :
      ( ( f @ ( A @ B ) )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invexists) ).

thf(2,negated_conjecture,
    ~ ? [A: $i > $i] :
      ! [B: $i] :
        ( ( f @ ( A @ B ) )
        = B ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ? [A: $i > $i] :
      ! [B: $i] :
        ( ( f @ ( A @ B ) )
        = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    ! [A: $i > $i] :
      ( ( f @ ( A @ ( sk1 @ A ) ) )
     != ( sk1 @ A ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(6,plain,
    ! [A: $i > $i] :
      ( ( f @ ( A @ ( sk1 @ A ) ) )
     != ( sk1 @ A ) ),
    inference(lifteq,[status(thm)],[5]) ).

thf(10,plain,
    ! [B: $i > $i,A: $i] :
      ( ( A
       != ( sk1 @ B ) )
      | ( ( f @ ( sk2 @ A ) )
       != ( f @ ( B @ ( sk1 @ B ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[9,6]) ).

thf(12,plain,
    ! [A: $i > $i] :
      ( ( A
        @ ( sk1
          @ ^ [B: $i] : ( sk2 @ ( A @ B ) ) ) )
     != ( sk1
        @ ^ [B: $i] : ( sk2 @ ( A @ B ) ) ) ),
    inference(pre_uni,[status(thm)],[10:[bind(A,$thf( C @ ( sk1 @ ^ [D: $i] : ( sk2 @ ( C @ D ) ) ) )),bind(B,$thf( ^ [D: $i] : ( sk2 @ ( C @ D ) ) ))]]) ).

thf(13,plain,
    $false,
    inference(pre_uni,[status(thm)],[12:[bind(A,$thf( ^ [B: $i] : B ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEV430^1 : TPTP v8.2.0. Released v5.2.0.
% 0.14/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun May 19 19:10:09 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.95/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.19/0.95  % [INFO] 	 Parsing done (98ms). 
% 1.28/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.69/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.69/1.19  % [INFO] 	 cvc4 registered as external prover. 
% 1.69/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.81/1.24  % [INFO] 	 Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ... 
% 1.85/1.26  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.85/1.26  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.85/1.26  % [INFO] 	 Type checking passed. 
% 1.85/1.27  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 2.91/1.68  % [INFO] 	 Killing All external provers ... 
% 2.91/1.69  % Time passed: 1166ms (effective reasoning time: 719ms)
% 2.91/1.69  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.91/1.69  % Axioms used in derivation (1): fsurj
% 2.91/1.69  % No. of inferences in proof: 12
% 2.91/1.69  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1166 ms resp. 719 ms w/o parsing
% 2.98/1.72  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.98/1.72  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------